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A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume

  1. A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.

Risk Age Pressure Smoker
12 57 152 No
24 67 163 No
13 58 155 No
56 86 177 Yes
28 59 196 No
51 76 189 Yes
18 56 155 Yes
31 78 120 No
37 80 135 Yes
15 78 98 No
22 71 152 No
36 70 173 Yes
15 67 135 Yes
48 77 209 Yes
15 60 199 No
36 82 119 Yes
8 66 166 No
34 80 125 Yes
3 62 117 No
37 59 207 Yes

  1. Develop a regression model to estimate the risk of stroke given the age, blood pressure, and smoking habit of the patient.
  2. Discuss the goodness of fit of the model.
  3. What is the risk of stroke for a 68-year old patient with a blood pressure 150 who is also a smoker?
  4. How will the risk level of the patient in c) change if the person is non-smoker.

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